Index: lib/Analysis/InstructionSimplify.cpp
===================================================================
--- lib/Analysis/InstructionSimplify.cpp
+++ lib/Analysis/InstructionSimplify.cpp
@@ -4537,9 +4537,18 @@
     case Intrinsic::log2: {
       // log2(exp2(x)) -> x
       if (Q.CxtI->isFast() &&
-          match(IIOperand, m_Intrinsic<Intrinsic::exp2>(m_Value(X)))) {
+          (match(IIOperand, m_Intrinsic<Intrinsic::exp2>(m_Value(X))) ||
+           match(IIOperand, m_Intrinsic<Intrinsic::pow>(m_SpecificFP(2.0),
+                                                        m_Value(X)))))
+        return X;
+      return nullptr;
+    }
+    case Intrinsic::log10: {
+      // log10(pow(10.0, x)) -> x
+      if (Q.CxtI->isFast() &&
+          match(IIOperand, m_Intrinsic<Intrinsic::pow>(m_SpecificFP(10.0),
+                                                       m_Value(X))))
         return X;
-      }
       return nullptr;
     }
     default:
Index: test/Transforms/InstSimplify/log10-intrinsic.ll
===================================================================
--- /dev/null
+++ test/Transforms/InstSimplify/log10-intrinsic.ll
@@ -0,0 +1,45 @@
+; NOTE: Assertions have been autogenerated by utils/update_test_checks.py
+; RUN: opt < %s -instsimplify -S | FileCheck %s
+
+declare double @llvm.log10.f64(double)
+declare double @llvm.pow.f64(double, double)
+
+define double @log10_pow10(double %x) {
+; CHECK-LABEL: @log10_pow10(
+; CHECK-NEXT:    [[TMP1:%.*]] = call double @llvm.pow.f64(double 1.000000e+01, double [[X:%.*]])
+; CHECK-NEXT:    [[TMP2:%.*]] = call double @llvm.log10.f64(double [[TMP1]])
+; CHECK-NEXT:    ret double [[TMP2]]
+;
+  %1 = call double @llvm.pow.f64(double 10.000000e+00, double %x)
+  %2 = call double @llvm.log10.f64(double %1)
+  ret double %2
+}
+
+define double @log10_strict_pow10_fast(double %x) {
+; CHECK-LABEL: @log10_strict_pow10_fast(
+; CHECK-NEXT:    [[TMP1:%.*]] = call fast double @llvm.pow.f64(double 1.000000e+01, double [[X:%.*]])
+; CHECK-NEXT:    [[TMP2:%.*]] = call double @llvm.log10.f64(double [[TMP1]])
+; CHECK-NEXT:    ret double [[TMP2]]
+;
+  %1 = call fast double @llvm.pow.f64(double 10.000000e+00, double %x)
+  %2 = call double @llvm.log10.f64(double %1)
+  ret double %2
+}
+
+define double @log10_fast_pow10_strict(double %x) {
+; CHECK-LABEL: @log10_fast_pow10_strict(
+; CHECK-NEXT:    ret double [[X:%.*]]
+;
+  %1 = call double @llvm.pow.f64(double 10.000000e+00, double %x)
+  %2 = call fast double @llvm.log10.f64(double %1)
+  ret double %2
+}
+
+define double @log10_pow10_fast(double %x) {
+; CHECK-LABEL: @log10_pow10_fast(
+; CHECK-NEXT:    ret double [[X:%.*]]
+;
+  %1 = call fast double @llvm.pow.f64(double 10.000000e+00, double %x)
+  %2 = call fast double @llvm.log10.f64(double %1)
+  ret double %2
+}
Index: test/Transforms/InstSimplify/log2-intrinsic.ll
===================================================================
--- test/Transforms/InstSimplify/log2-intrinsic.ll
+++ test/Transforms/InstSimplify/log2-intrinsic.ll
@@ -3,6 +3,7 @@
 
 declare double @llvm.log2.f64(double)
 declare double @llvm.exp2.f64(double)
+declare double @llvm.pow.f64(double, double)
 
 define double @log2_exp2(double %a) {
 ; CHECK-LABEL: @log2_exp2(
@@ -69,3 +70,43 @@
   %4 = call fast double @llvm.log2.f64(double %3)
   ret double %4
 }
+
+define double @log2_pow2(double %x) {
+; CHECK-LABEL: @log2_pow2(
+; CHECK-NEXT:    [[TMP1:%.*]] = call double @llvm.pow.f64(double 2.000000e+00, double [[X:%.*]])
+; CHECK-NEXT:    [[TMP2:%.*]] = call double @llvm.log2.f64(double [[TMP1]])
+; CHECK-NEXT:    ret double [[TMP2]]
+;
+  %1 = call double @llvm.pow.f64(double 2.000000e+00, double %x)
+  %2 = call double @llvm.log2.f64(double %1)
+  ret double %2
+}
+
+define double @log2_strict_pow2_fast(double %x) {
+; CHECK-LABEL: @log2_strict_pow2_fast(
+; CHECK-NEXT:    [[TMP1:%.*]] = call fast double @llvm.pow.f64(double 2.000000e+00, double [[X:%.*]])
+; CHECK-NEXT:    [[TMP2:%.*]] = call double @llvm.log2.f64(double [[TMP1]])
+; CHECK-NEXT:    ret double [[TMP2]]
+;
+  %1 = call fast double @llvm.pow.f64(double 2.000000e+00, double %x)
+  %2 = call double @llvm.log2.f64(double %1)
+  ret double %2
+}
+
+define double @log2_fast_pow2_strict(double %x) {
+; CHECK-LABEL: @log2_fast_pow2_strict(
+; CHECK-NEXT:    ret double [[X:%.*]]
+;
+  %1 = call double @llvm.pow.f64(double 2.000000e+00, double %x)
+  %2 = call fast double @llvm.log2.f64(double %1)
+  ret double %2
+}
+
+define double @log2_pow2_fast(double %x) {
+; CHECK-LABEL: @log2_pow2_fast(
+; CHECK-NEXT:    ret double [[X:%.*]]
+;
+  %1 = call fast double @llvm.pow.f64(double 2.000000e+00, double %x)
+  %2 = call fast double @llvm.log2.f64(double %1)
+  ret double %2
+}